A proton moves along the x axis according to the equation x = 30 t + 14 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i (b) Number i (c) Number i Units Units Units

A proton moves along the x axis according to the equation x = 30 t + 14 t2, where x is in meters and t is in seconds. Calculate (a) the average velocity of the proton during the first 3.0 s of its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s. (a) Number i (b) Number i (c) Number i Units Units Units

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 32P: A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90...

See similar textbooks

Similar questions

A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90 m and a takeoff speed 70 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35’s acceleration decreases to a constant acceleration of 5.0m/s2 at 30 with respect to the horizontal. (a) What is the initial acceleration of the F-35 on the deck of the aircraft carrier to make it airborne? (b) Write the position and velocity of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (c) At what altitude is the fighter 5.0 s after it leaves the deck of the aircraft carrier? (d) What is its velocity and speed at this time? (e) How far has it traveled horizontally?
The initial velocity (in m/s) of a particle is given by v0 = 3i - 4j. It experiences an acceleration of a = 2i + 5k. Find the position and velocity of the particle at time = 5.0 s
The acceleration of a particle moving along a straight line is a = (11 - 1.0s) m/s², where s is in meters. If v = 0 when s = 0, determine the magnitude of the particle's velocity when s = 7.0 m.
An object is thrown straight up with an initial velocity of 13.4 m/s. What time interval elapses between the object's being thrown and its return to the original launch point? (Acceleration due to gravity is 9.80 m/s2.)
A uniformly accelerating rocket is found to have a velocity of 12.0 m/s when its height is 7.00 m above the ground, and 1.70 s later the rocket is at a height of 57.0 m. What is the magnitude of its acceleration? m/s2
In an historical movie, two knights on horseback start from rest 96.9m apart and ride directly toward each other to do battle. Sir George’s acceleration has a magnitude of 0.213m/s^2, while Sir Alfred’s has a magnitude of 0.267 m/s^2. Relative to Sir Georges starting point, where do the knights collide?
A car drives around a circular track of diameter 161 m at a constant speed of 47.4 m/s. During the time it takes the car to travel 256 degrees around, what is the magnitude of the car s average acceleration? Hint: Do not calculate instantenous accelleration. Instead calculte the average acceleration over the fraction of a complete lap. Average acceleration equals change in velocity divided by change in time, and that this is a two-dimensional situation so you'll have to calculate the x and y components of the average acceleration first and then figure out the magnitude. Remember also that ax = Δvx/Δt and ay = Δvy/Δt. 0 m/s^2 27.91 m/s^2 13.96 m/s^2 9.84 m/s^2
The rectilinear motion of a body is given by the equation (S= V2 - 9), When (S) is in (m) and (V) in (m /sec), Determine the acceleration of the body?
A person hits a trampoline while moving downward with a speed of 9 m/s and rebounds a short time later with roughly the same speed upward. If the person is in contact with the trampoline for about 1.8 s, what are the magnitude and direction of the person’s average acceleration during this time interval? (Hint: You can ignore the effects due to gravity
A particle is observed to start at rest and accelerates at a= 30 +2t where t is in seconds, until its velocity is 398.20 m/s. It then hits an obstruction and the acceleration is given by a=-0.003v^2, until the velocity decreases to 98.20 m/s. Determine the total distance the particle travelled, and the total time of travel.
A car, moving to the left in a straight line in the negative x-direction, travels a distance d = 32 m during time interval Δt = 18 s. What is the value of the x-component of the car's average velocity, in m/s, during the given time interval?
A child running in a field has the following position and velocity at time t=0: x = 1.5 m. v= -2.0 m. Vx =-3.5 m/s, vy = 1.0 m/s At time t = 2.5 s, it has the following position and velocitv: x = -1.0 m, y = 1.5 m 08. Vx = -0.50 m/s, Vy = 2.0 m/s Using this information, find the magnitude and direction of the child's…